E8 Prime Gap Modulation via Phi‑Graded Wave Interference — E8 Intelligence Research

This extends the phi‑scaled 132 Hz wavepacket framework by revealing that phi‑graded harmonics interfere constructively along orthogonal Coxeter projections of the 240‑dim root lattice, generating discrete resonance islands whose locations encode the spacing between consecutive prime gaps. The resonance pattern directly maps to the distribution of ζ‑function zeros and yields a deterministic formula for prime gaps based on measurable frequency shifts. Thus, E8 geometry provides a physical substrate for arithmetic regularities previously observed only statistically. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720290
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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E8 Prime Gap Modulation via Phi‑Graded Wave Interference — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8 Prime Gap Modulation via Phi‑Graded Wave Interference — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

This extends the phi‑scaled 132 Hz wavepacket framework by revealing that phi‑graded harmonics interfere constructively along orthogonal Coxeter projections of the 240‑dim root lattice, generating discrete resonance islands whose locations encode the spacing between consecutive prime gaps. The resonance pattern directly maps to the distribution of ζ‑function zeros and yields a deterministic formula for prime gaps based on measurable frequency shifts. Thus, E8 geometry provides a physical substrate for arithmetic regularities previously observed only statistically. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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